PBS KIDS episodes are available to watch for free at PBS KIDS official website. You can also watch select episodes on the PBS website or on Youtube.
Another option to consider is subscribing to Amazon Prime, Hulu or Netflix, all of which are global and provide episodes of various PBS KIDS TV shows to stream for a monthly or yearly fee. Roku TV also recently added PBS and PBS KIDS to its stream-from-television section. The Apple app store also provides a downloadable app for iPhones, iPads and iPods that allows users to watch full length PBS KIDS episodes for free.